Baumslag G. A Course in Mathematical Cryptography 2015

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Baumslag G. A Course in Mathematical Cryptography 2015

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Textbook in PDF format Cryptography has become essential as bank transactions, credit card infor-mation, contracts, and sensitive medical information are sent through inse-cure channels. This book is concerned with the mathematical, especially algebraic, aspects of cryptography. It grew out of many courses presented by the authors over the past twenty years at various universities and covers a wide range of topics in mathematical cryptography. It is primarily geared towards graduate students and advanced undergraduates in mathematics and computer science, but may also be of interest to researchers in the area. Besides the classical methods of symmetric and private key encryption, the book treats the mathematics of cryptographic protocols and several unique topics such as: Group-Based Cryptography; Gröbner Basis Methods in Cryptography; Lattice-Based Cryptography; Focuses on the mathematics of cryptographic protocols. Discusses relevant ideas from computer science and complexity theory. Includes a chapter on noncommutative algebraic cryptography. Basic Ideas of Cryptography Symmetric Key Cryptosystems Cryptanalysis and Complexity Cryptographic Protocols Elementary Number Theoretic Techniques Some Number Theoretic Algorithms Public Key Cryptography Elliptic Curve Cryptography Basic Concepts from Group Theory Non-Commutative Group Based Cryptography Platform Groups and Braid Group Cryptography Further Applications Using Group Theory Commutative Gröbner Basis Methods Non-Commutative Gröbner Basis Methods Lattice-Based Cryptography